Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 848, 880, 45, 107 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 880, 45, 107 is 1
GCD(848, 880, 45, 107) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 880, 45, 107 is 1
GCD(848, 880, 45, 107) = 1
Given Input numbers are 848, 880, 45, 107
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Greatest Common Divisior
We found the divisors of 848, 880, 45, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 880, 45, 107 is 1.
Therefore, GCD of numbers 848, 880, 45, 107 is 1
Given Input Data is 848, 880, 45, 107
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 107 is 107
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(848, 880) = 46640
GCD(848, 880) = ( 848 x 880 ) / 46640
GCD(848, 880) = 746240 / 46640
GCD(848, 880) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 45) = 720
GCD(16, 45) = ( 16 x 45 ) / 720
GCD(16, 45) = 720 / 720
GCD(16, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 107
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
GCD(1, 107) = 107 / 107
GCD(1, 107) = 1
GCD of 848, 880, 45, 107 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 880, 45, 107?
GCD of 848, 880, 45, 107 is 1
2. Where do I get the detailed procedure to find GCD of 848, 880, 45, 107?
You can find a detailed procedure to find GCD of 848, 880, 45, 107 on our page.
3. How to find GCD of 848, 880, 45, 107 on a calculator?
You can find the GCD of 848, 880, 45, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.